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SUMMARY:Successes and prospects of geometric numerical integration  - Robe
 rt McLachlan\, Massey University\, New Zealand
DTSTART:20131003T140000Z
DTEND:20131003T150000Z
UID:TALK46737@talks.cam.ac.uk
CONTACT:6743
DESCRIPTION:Geometric numerical integration emerged in the 1990s. Its root
 s lie in successful and widely used algorithms of computational physics\, 
 especially the symplectic leapfrog method\, and in the numerical analysis 
 of classical families of numerical integrators such as Runge- Kutta. Combi
 ning these two strands has led to better algorithms for physical simulatio
 ns and also to a better understanding of the process of numerical integrat
 ion. Today the behaviour of integration algorithms is studied with respect
  to a range of geometric properties\, including preservation of invariant 
 (symplectic and volume) forms and invariant sets\, including those that em
 erge in an asymptotic limit.
LOCATION:MR 5\, CMS
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